Question
In a ΔABC,
, then
The correct answer is: ![a less than b less than c](data:image/png;base64,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)
Given ![r subscript 1 less than r subscript 2 less than r subscript 3 not stretchy rightwards double arrow fraction numerator straight capital delta over denominator s minus a end fraction less than fraction numerator straight capital delta over denominator s minus b end fraction less than fraction numerator straight capital delta over denominator s minus c end fraction](data:image/png;base64,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)
![not stretchy rightwards double arrow s minus a greater than s minus b greater than s minus c not stretchy rightwards double arrow negative a greater than negative b greater than negative c not stretchy rightwards double arrow a less than b less than c](data:image/png;base64,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)
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